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Finding the Fourth Proportional to 209.97, 288.21 and 186.14

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Solution

The fourth proportional to 209.97, 288.21 and 186.14 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 288.21 = 186.14 : x
  2. Step 2: Convert to fraction form
    209.97/288.21 = 186.14/x
  3. Step 3: Cross multiply
    209.97x = 288.21 × 186.14
  4. Step 4: Simplify right side
    209.97x = 53,645.04
  5. Step 5: Solve for x
    x = 53,645.04/209.97
  6. Step 6: Final answer
    x = 255.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.